Discrete Rubio De Francia extrapolation theorems in the theory of Bp-discrete weights

被引：0

作者：

Saker, Samir H. ^{[1
,2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt

[2] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura City, Egypt

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

FILOMAT | 2024年 / 38卷 / 01期

关键词：

Discrete Hardy's type operator; Bp-; discrete weights; self-improving property; Rubio de Francia extrapolation theorems; OPERATORS; HARDY; MUCKENHOUPT; FACTORIZATION; BOUNDEDNESS; SEQUENCES; SPACES;

D O I：

10.2298/FIL2401147S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will prove some discrete Rubio De Francia extrapolation theorems for non-increasing sequences in the setting of the discrete Bp-weights. We also present some extensions to the discrete B infinity-weights. The proof of the results based on the boundedness of the discrete Hardy operator and the self-improving property of the discrete Bp weights. To the best of the authors' knowledge the discrete extrapolation theorems in connection with Bp-weights are essentially new.

引用

页码：147 / 169

页数：23

共 35 条

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